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Graphene under uniaxial inhomogeneous strain and an external electric field: Landau levels, electronic, magnetic and optical properties

Author

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  • Dai-Nam Le

    (Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University
    Faculty of Applied Sciences, Ton Duc Thang University)

  • Van-Hoang Le

    (Ho Chi Minh City University of Education)

  • Pinaki Roy

    (Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University
    Faculty of Applied Sciences, Ton Duc Thang University)

Abstract

We investigate graphene under an inhomogeneous uniaxial strain and an in-plane electric field. We examine in detail the effect of strain and the electric field on relativistic Landau levels, Hall conductivity, de Haas-van Alphen oscillation and optical conductivity. Using Lorentz transformation in combination with supersymmetric quantum mechanics, we examine three different structures of Landau levels induced by three different profiles of inhomogeneous uniaxial strain and external electric fields. It is shown that strain-induced pseudomagnetic field forms Landau levels while electric field opposes formation of these levels. Besides the collapse of strain induced Landau levels, the influences of electric field on the quantization of strain dependent valley Hall conductivity, de Haas-van Alphen quantum oscillation of magnetization as well as optical conductivity have been investigated. Graphical abstract

Suggested Citation

  • Dai-Nam Le & Van-Hoang Le & Pinaki Roy, 2020. "Graphene under uniaxial inhomogeneous strain and an external electric field: Landau levels, electronic, magnetic and optical properties," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(8), pages 1-12, August.
  • Handle: RePEc:spr:eurphb:v:93:y:2020:i:8:d:10.1140_epjb_e2020-10222-3
    DOI: 10.1140/epjb/e2020-10222-3
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    Cited by:

    1. Anh-Luan Phan & Dai-Nam Le, 2021. "Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-16, August.

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    Keywords

    Solid State and Materials;

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